Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 825/61, 990/42, 938/582 quickly i.e. 2321550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 825/61, 990/42, 938/582 is 2321550.
LCM(825/61, 990/42, 938/582) = 2321550
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 825/61,990/42,938/582
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 825,990,938
Least Common Multiple of Numerators i.e. LCM of 825,990,938 is 2321550.
GCF of Denominators means GCF of 61,42,582 as per the given fractions.
GCF of 61,42,582 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 825,990,938
2 | 825, 990, 938 |
3 | 825, 495, 469 |
5 | 275, 165, 469 |
11 | 55, 33, 469 |
5, 3, 469 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 5 x 3 x 469 = 2321550
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 825,990,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,990,938) = 1
common factors(in case of two or more numbers have common factors) = 330
GCF(825,990,938) x common factors =1 x 330 = 330
LCM(825,990,938) = ( 825 × 990 × 938 ) / 330
LCM(825,990,938) = 766111500 / 330
LCM(825,990,938) = 2321550
Lets's calculate GCF of 61,42,582
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2321550/1
Therefore the LCM of Fractions 825/61,990/42,938/582 is 2321550
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Greatest Common Factor
We found the factors 61,42,582 . The biggest common factor number is the GCF number.
So the greatest common factor 61,42,582 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 825/61, 990/42, 938/582?
Answer: LCM of Numerators as per given numbers 825/61, 990/42, 938/582 is
LCM of Numerators i.e. for 825,990,938 is 2321550
GCF of denominators i.e. for 61,42,582 is 1.
Thus, LCM of Fractions is 2321550.Finally, LCM of Fractions for 825/61, 990/42, 938/582 is 2321550.